Height and Distance Questions Practice Question and Answer
8 Q: A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
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606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
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Answer : 4. "30"
Q: The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
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606d78f36a85553684e1c486- 116 mfalse
- 220√ 3 mtrue
- 320 mfalse
- 430 mfalse
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Answer : 2. "20√ 3 m"
Q: From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of x is:
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605319634999e13f2a6cb875- 154false
- 236false
- 348true
- 445false
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Answer : 3. "48"
Q: An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:
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6051ca08d3e3d30b29d9ab7f- 126.8false
- 227.6true
- 326.2false
- 425.8false
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Answer : 2. "27.6"
Q: From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.
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600e93b77fb81d03bf731436- 1h (Cot B +Cot A)true
- 2h (tanB +tanA)false
- 3h (tanA - tan B)false
- 4h(cot B-cotA)false
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Answer : 1. "h (Cot B +Cot A)"
Q: An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :
835 0600a8dffbaeda263c3c88b13
600a8dffbaeda263c3c88b13- 1$$ {9\sqrt{3}\over 10}{\ meter}$$false
- 2$$ {3\sqrt{3}\over 10}{\ meter}$$false
- 3$$ {3\sqrt{3}\over 5}{\ meter}$$false
- 4$$ {9\sqrt{3}\over 5}{\ meter}$$true
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"
Q: From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?
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5fc0dc584f2f6c622beee75e- 1$$ {48\sqrt{3}}$$false
- 236false
- 3$$ {36\sqrt{3}}$false
- 448true
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Answer : 4. "48"
Q: A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be
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5fbe71142e911753dd562895- 1142 mtrue
- 2140 mfalse
- 3139 mfalse
- 4138 mfalse
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